can someone help me with this question????/
http://farm4.static.flickr.com/3002/...e2d4bf.jpg?v=0
can someone help me with this question????/
http://farm4.static.flickr.com/3002/...e2d4bf.jpg?v=0
Well since it's the graph of f', f is decreasing when f' is negative. f' is negative when it's below the x-axis.
and a local maximum is when f' is positive, then 0 (horizontal tangent), then negative..
local minimum when f' is going from negative, 0, and then positive again.
Here is what you need to know and use:
f is increasing when f' > 0.
f is decreasing when f' < 0.
Stationary point when f' = 0. Nature of stationary point. Use sign test:
Let a < b < c.
Local max at x = b if f'(b) = 0 and f'(a) > 0 and f'(c) < 0.
Local min at x = b if f'(b) = 0 and f'(a) < 0 and f'(c) > 0.